Black holes with spindles at the horizon

A bstract We construct AdS 4 × Σ and 2 $$ {\Sigma}_{\mathfrak{g}} Σ g solutions in F(4) gauged supergravity six dimensions, where is a two dimensional manifold of non-constant curvature with conical singularities at its poles, called spindle, constant Riemann surface genus \mathfrak{g} . find that the first solution realizes “topologically topological twist”, while second class gives rise to an “anti twist”. compute holographic free energy it matches entropy computed by extremizing functional constructed gluing gravitational blocks. For solution, we Bekenstein-Hawking reproduced appropriately defined functional, which leads us conjecture this dual three SCFT on spindle. can be embedded four T 3 supergravity, subtruncation theory.